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20. The mathematical notion of a vector 21. The physical notion of a vector 22. The summation convention 23. Tensors 24. Inner multiplication and contraction. 25. The fundamental tensors . 26. Associated tensors 27. Christoffel's 3-index symbols 28. Equations of a geodesic 29. Covariant derivative of a vector 30. Covariant derivative of a tensor 31. Alternative discussion of the covariant derivative 32. Surface-elements and Stokes's theorem 33. Significance of covariant differentiation 34.

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